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Nataly_w [17]
3 years ago
7

Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using

1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

1\dfrac{1}{2} teaspoon of salt is required

Step-by-step explanation:

The recipe requires 3/4 cup of flour and Nick wants to make the recipe using 1 cup of flour.

The recipe requires  1 1/8 teaspoon of salt and Nick wants to know how much salt he heeds.

Consider short description:

3/4 cup of flour - 1 cup of flour,

1 1/8 teaspoon of salt - x teaspoon of salt.

Mathematically, you can wrte a proportion:

\dfrac{\frac{3}{4}}{1\frac{1}{8}}=\dfrac{1}{x}.

Then

\dfrac{3}{4}\cdot x=1\cdot 1\dfrac{1}{8},\\ \\\dfrac{3x}{4}=\dfrac{9}{8},\\ \\3x\cdot 8=4\cdot 9,\\ \\24x=36,\\ \\x=\dfrac{36}{24}=\dfrac{3}{2}=1\dfrac{1}{2}.

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Step-by-step explanation:

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
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Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

so

    p  \ge 0.01

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

         t =  \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

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Answer:

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Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

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* Lets look to the picture

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Answer:

Step-by-step explanation:

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so the simplified ratio of shovels to brooms is   7:8

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